Differential and Integral Inequalities

• Corporate Author: SpringerLink (Online service)
• Other Authors: Andrica, Dorin (Editor, http://id.loc.gov/vocabulary/relators/edt), Rassias, Themistocles M. (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: Springer Optimization and Its Applications, 151
• Subjects: Difference equations.; Functional equations.; Approximation theory.; Functions of real variables.; Harmonic analysis.; Functions of complex variables.; Convex geometry .; Discrete geometry.; Difference and Functional Equations.; Approximations and Expansions.; Real Functions.; Abstract Harmonic Analysis.; Functions of a Complex Variable.; Convex and Discrete Geometry.
• Physical Description: IX, 854 p. 2 illus., 1 illus. in color. online resource.
• ISBN: 9783030274078
• ISSN: 1931-6828 ;
• DOI: 10.1007/978-3-030-27407-8

Theories, methods and problems in approximation theory and analytic inequalities with a focus on differential and integral inequalities are analyzed in this book. Fundamental and recent developments are presented on the inequalities of Abel, Agarwal, Beckenbach, Bessel, Cauchy-Hadamard, Chebychev, Markov, Euler's constant, Grothendieck, Hilbert, Hardy, Carleman, Landau-Kolmogorov, Carlson, Bernstein-Mordell, Gronwall, Wirtinger, as well as inequalities of functions with their integrals and derivatives. Each inequality is discussed with proven results, examples and various applications. Graduate students and advanced research scientists in mathematical analysis will find this reference essential to their understanding of differential and integral inequalities. Engineers, economists, and physicists will find the highly applicable inequalities practical and useful to their research.